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Finding the Fourth Proportional to 391.64, 588.52 and 237.60

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Solution

The fourth proportional to 391.64, 588.52 and 237.60 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 588.52 = 237.60 : x
  2. Step 2: Convert to fraction form
    391.64/588.52 = 237.60/x
  3. Step 3: Cross multiply
    391.64x = 588.52 × 237.60
  4. Step 4: Simplify right side
    391.64x = 139,832.35
  5. Step 5: Solve for x
    x = 139,832.35/391.64
  6. Step 6: Final answer
    x = 357.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.